混合系统理论
￥ 36 3.6折 ￥ 99 九五品
仅1件
作者Mohamad,S.,Alwan,Xinzhi,Liu
出版社高等教育出版社
ISBN9787040506150
出版时间2018-12
版次1
装帧精装
开本16开
纸张胶版纸
页数130页
定价99元
上书时间2024-05-22
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基本信息
书名:混合系统理论
定价：99.00元
作者:Mohamad,S.,Alwan,Xinzhi,Liu
出版社：高等教育出版社
出版日期：2018-12-01
ISBN：9787040506150
字数：
页码：130
版次：
装帧：精装
开本：16开
商品重量：
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内容提要
本书介绍了确定性和随机混合系统的理论。混合系统是一个横跨应用数学、控制科学和计算机科学等学科的交叉研究领域。在此类系统中，若干个连续过程与不同层次的自动化设备相互作用。这些自动化装置起着监督、管理和决策作用，从而构成多个离散事件过程，这些集若干连续过程与若干离散过程为一体的大型反应系统即构成一个混合系统。混合系统的理论为大型反应系统提供了一个很好的数学模型，它是一个非常有价值的建模工具，可用于描述广泛的现实世界的应用。本书介绍了多个 Lyapunov或Razumikhin–Lyapunov函数方法，讨论了确定性和随机混合系统领域的极新发展。本书还论述了系统的稳定性、稳定化、可靠控制、输入-状态稳定性(ISS) 稳定化、状态估计和大规模奇异摄动系统的稳定性等性质。
目录
1 Motivating Examples1.1 Switched Systems1.1.1 Supervisory Switching Control1.1.2 Switched Server System1.1.3 Singular System with Markov Switching1.2 Impulsive Systems1.2.1 SEIRS Epidemic Model with Impulse Vaccinations1.2.2 Insulin TreatmentReferences2 Mathematical Background2.1 Basic Definitions2.2 Comparison Method2.3 Delay Systems2.4 Impulsive Systems2.5 Comparison Method for Impulsive Systems2.6 Impulsive Systems with Time Delay2.7 Stochastic Differential Equations2.7.1 Notations and Basic Definitions2.7.2 Stochastic Processes2.7.3 Stochastic Differential Equations2.7.4 Comparison Method for Stochastic Systems2.8 Stochastic Impulsive System with Time Delay2.9 Switched Systems2.9.1 System Formulation2.9.2 Systems with Stable Subsystems2.10 Stochastic Switched Systems with Time Delay2.11 Singularly Perturbed Systems2.12 Miscellaneous Results2.13 Notes and CommentsReferences3 Fundamental Properties of Stochastic Impulsive Systems with Time Delay3.1 Estence of Solution3.2 Forward Continuation3.3 Global Estence3.4 Uniqueness of Solution3.5 Notes and CommentsReferences4 Stability of Stochastic Impulsive Systems with Time Delay4.1 Stability Analysiy Classical Lyapunov Technique4.2 Stability Analysiy Comparison Method4.3 Notes and CommentsReferences5 Large-Scale Stochastic Impulsive Systems with Time Delay5.1 Problem Formulation5.2 Analysiy Lyapunov Method5.3 Comparison Method5.3.1 Method of Lyapunov Function5.3.2 Method of Vector Lyapunov Functions5.4 Examples5.5 Notes and Comments References6 Input-to-State Stability for Stochastic Switched Systems6.1 Problem Formulation6.2 Initial-State-Dependent Dwell-Time6.3 Markovian Switching6.4 Notes and CommentsReferences7 Reliable Control for Stochastic Switched Systems with State Delay7.1 Problem Formulation7.2 Stability Analysis7.3 Numerical Example7.4 Notes and CommentsReferences8 Robust Reliable Control for Impulsive Large-Scale Systems8.1 Problem Formulation8.2 Reliable Control8.3 State Estimation8.4 Notes and CommentsReferences9 Switched Singularly Perturbed Systems with Time Delay9.1 Problem Formulation9.2 Stability Analysis9.2.1 Linear Systems9.2.2 Nonlinear Systems9.3 Notes and CommentsReferences10 Singularly Perturbed Impulsive-Switched Systems with Time Delay10.1 Problem Formulation10.2 Stability Analysis10.2.1 Linear Systems10.2.2 Nonlinear Systems10.3 Notes and CommentsReference11 Stabilization and State Estimation via Sliding Mode Control11.1 Problem Formulation11.2 Slow Sliding Mode Control Design11.2.1 Sliding Mode Control with Multiple Inputs11.2.2 Reachability Analysis11.3 Sliding Mode Luenberger Observer11.4 Numerical Examples11.5 Notes and CommentsReferences12 Comparison Method and Stability of EPCA12.1 Introduction12.2 Problem Formulation12.3 Comparison Method12.4 Stability Analysis12.5 Numerical Examples12.6 Application12.7 Notes and Comments References13 Estence, Uniqueness and Stability of Stochastic EPCA13.1 Estence and Uniqueness of Solutions13.2 Comparison Method13.3 Stability Analysis13.4 Notes and CommentsReferences
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